Try the Transforms->Orient tool in the Geometry Tool Palette. Drag and drop the tool onto the background (camera) to align the camera, then click the Fit-All button on the toolbar. The Orient tool properties let you specify:

Forwards - Into screen direction

Up - Screen up direction

If you just want to align the view and not animate it, then you need to ensure you are at Simulation->Time = 0, i.e., click the Start button on the toolbar. If you want to preserve your current results and orient the camera then be sure to click the Lock button on the toolbar first, click the Start button, perform the orientation, and then toggle Lock to return to your previous Simulation->Time. For more on Lock try "Run, Stop, and Lock Controls."

I'm not clear on the behavior of this tool. I want to orient the coordinate axes so that +Y is out of the page, +X is up and +Z is right. After trial and error, I was able to achieve this using the following settings for Orient tool:

X Axis: +X (i.e., Screen Up direction, not into the screen)
Y Axis: +Z (i.e., Screen Right direction, not Screen up direction)

This appears to be counter to the directions provided in the post above.

Also, is there a general user reference for the underlying geometric modeler used in Caedium?

After further experimentation with the Transforms->Orient tool, it appears that the X Axis and Y Axis parameters are relative to the orientation of the previous settings for background (camera). This is not useful when trying to obtain pre-defined views such as X-Y, Y-Z and X-Z plane views. Is there a way to get these pre-defined views in Caedium?

I think you are animating the camera (i.e., Simulation->Time > 0), whereas I presume you want to just set the camera view. In which case:

See comment "Transforms->Orient tool" you need to ensure you are at Simulation->Time = 0, i.e., click the Start button on the toolbar. If you want to preserve your current results and orient the camera then be sure to click the Lock button on the toolbar first, click the Start button, perform the orientation, and then toggle Lock to return to your previous Simulation->Time. For more on Lock try "Run, Stop, and Lock Controls".